geometry
posted by Sharon .
Find m<ABC if line BD is an angle bisector of angle ABC and m<ABC = 4x  5 degrees and angle b is x + 6 degrees

geometry 
Henry
ABC = 4x  5 = 2b = 2(x + 6),
4x  5 = 2(x + 6),
4x  5 = 2x + 12,
4x  2x = 12 + 5,
2x = 17,
x = 17/2,
ABC = 4X  5 = 4*17/2  5 = 34  5 = 29
deg.
Respond to this Question
Similar Questions

PLEASE HELP!!!!! (Right Triangle Question)
Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN. I did Pythagorean Theorem for triangle ABC, and hypotenuse BC will be 10. I don't know how to continue from there. Oh, I'm also … 
geometry
I can't figure out this problem, help would be much appreciated! Suppose line BC bisects angle ABE, and D is the interior of angle ABC. If mangle CBD=28 degrees, and mangle ABE=136 degrees, find mABD. 
Geometry
ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC … 
Geometry
ABC is an acute angle triangle with points D and E on BC and AC, respectively such that BE and AD are altitudes. AD and BE intersect at H. If \angle BCA = 39 ^\circ and \angle EBA = 2 \angle DAB , what is the measure of \angle ABC(in … 
Geometry
ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)? 
maths
ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of \angle ABC (in degrees)? 
Geometry
Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic … 
Genius Math
Triangle ABC has AC=BC, angle ACB=96 degrees. D is a point in ABC such that angle DAB=18 degrees and angleDBA=30 degrees. What is the measure in degrees of angle ACD? 
MATH_URGENT
Point X is on side \overline{AC} of \triangle ABC such that \angle AXB =\angle ABX, and \angle ABC  \angle ACB = 39 degrees. Find \angle XBC in degrees. 
geometry
for two angles ABC and DBC the measure of ABC was 30 degrees and DBC is its complement. ray BE is the angle bisector of ABD. consider each angle. does the angle have a measure of 45 degrees?